Engineering Worksheet: Mechanical Advantage and Work
Engineer's tip (Less force, more distance): MA = load ÷ effort. Work (J) = force (N) × distance (m); force = work ÷ distance; distance = work ÷ force. Ideal ramp: MA = length ÷ height, effort = load ÷ MA.
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- 1.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 200 N box up it, in newtons? (ideal ramp, no friction)
- 2.🏋️ Work is done when a force moves something … (a) without moving it (b) through a distance (c) only upwards (d) very slowly
- 3.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 1000 N box up it, in newtons? (ideal ramp, no friction)
- 4.🏋️ A force of 190 N did 190 J of work. How many metres did the object move?
- 5.🏋️ An 18 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 6.🏋️ A force of 450 N did 2700 J of work. How many metres did the object move?
- 7.🏋️ A force of 220 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 8.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load ÷ effort (c) load × effort (d) load + effort
- 9.🏋️ A force of 340 N did 680 J of work. How many metres did the object move?
- 10.🏋️ A machine lifts a load of 350 N when you push with 70 N. What is its mechanical advantage (MA)?
- 11.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) only on Mondays (c) yes, by half (d) no, work stays the same
- 12.🏋️ A force of 270 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 13.🏋️ A force of 90 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 14.🏋️ Pushing a crate 3 m took 1110 J of work. What force was used, in newtons?
- 15.🏋️ A force of 30 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 16.🏋️ A 10 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 17.🏋️ A machine lifts a load of 100 N when you push with 20 N. What is its mechanical advantage (MA)?
- 18.🏋️ In which unit is work measured? (a) watt hour (b) joule (J) (c) metre (m) (d) newton (N)
- 19.🏋️ Pushing a crate 4 m took 1440 J of work. What force was used, in newtons?
- 20.🏋️ A force of 440 N did 3520 J of work. How many metres did the object move?
- 21.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 1800 N box up it, in newtons? (ideal ramp, no friction)
- 22.🏋️ A force of 80 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 23.🏋️ Pushing a crate 3 m took 480 J of work. What force was used, in newtons?
- 24.🏋️ A machine lifts a load of 450 N when you push with 150 N. What is its mechanical advantage (MA)?
- 25.🏋️ A force of 370 N did 1110 J of work. How many metres did the object move?
- 26.🏋️ Pushing a crate 8 m took 1920 J of work. What force was used, in newtons?
- 27.🏋️ A machine lifts a load of 800 N when you push with 200 N. What is its mechanical advantage (MA)?
- 28.🏋️ A machine lifts a load of 540 N when you push with 180 N. What is its mechanical advantage (MA)?
- 29.🏋️ A machine lifts a load of 400 N when you push with 200 N. What is its mechanical advantage (MA)?
- 30.🏋️ A force of 400 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 31.🏋️ A machine lifts a load of 150 N when you push with 30 N. What is its mechanical advantage (MA)?
- 32.🏋️ A machine lifts a load of 200 N when you push with 100 N. What is its mechanical advantage (MA)?
- 33.🏋️ A force of 50 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 34.🏋️ A machine lifts a load of 210 N when you push with 70 N. What is its mechanical advantage (MA)?
- 35.🏋️ Pushing a crate 4 m took 1120 J of work. What force was used, in newtons?
- 36.🏋️ Pushing a crate 1 m took 130 J of work. What force was used, in newtons?
- 37.🏋️ Pushing a crate 10 m took 1300 J of work. What force was used, in newtons?
- 38.🏋️ A machine lifts a load of 960 N when you push with 160 N. What is its mechanical advantage (MA)?
- 39.🏋️ A 13 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 40.🏋️ A force of 250 N did 500 J of work. How many metres did the object move?
Answer key
- 50
- through a distance
- 200
- 1
- 180
- 6
- 1540
- load ÷ effort
- 2
- 5
- no, work stays the same
- 2160
- 360
- 370
- 60
- 200
- 5
- joule (J)
- 360
- 8
- 600
- 640
- 160
- 3
- 3
- 240
- 4
- 3
- 2
- 3600
- 5
- 2
- 450
- 3
- 280
- 130
- 130
- 6
- 520
- 2
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